Three very large plates of same area are kept parallel and close to each other. They are considered as ideal black surfaces and have very high thermal conductivity. The first and third plates are maintained at temperatures $2\,T$ and $3\,T$ respectively. The temperature of the middle (i.e. second) plate under steady state condition is
${\left( {\frac{{65}}{2}} \right)^{\frac{1}{4}}}\,T$
${\left( {\frac{{97}}{4}} \right)^{\frac{1}{4}}}\,T$
${\left( {\frac{{97}}{2}} \right)^{\frac{1}{4}}}\,T$
${\left( {97} \right)^{\frac{1}{4}}}\,T$
A block of metal is heated to a temperature much higher than the room temperature and allowed to cool in a room free from air currents. Which of the following curves correctly represents the rate of cooling
Three rods $A, B,$ and $C$ of thermal conductivities $K, 2K$ and $4K$ and equal, cross-sectional areas and lengths $2l, l$ and $l$ respectively are connected as shown in the figure. If the ends of the rods are maintained at temperatures $100\ ^oC, 50\ ^oC,$ and $0\ ^oC$ respectively, then the temperature $\theta$ of the junction is
Two diagonally opposite comers of a square made of a four thin rods of same material, same dimensions are at temperature $40^{\circ} C$ and $10^{\circ} C$. If only heat conduction takes place, then the temperature difference between other two corners will be .......... $^{\circ} C$
Which of the following cylindrical rods will coduct most heat when their ends are maintained at the same steady temperatures?
A long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of temperature $\theta$ along the length $x$ of the bar from its hot end is best described by which of the following figures ?